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Finding the Fourth Proportional to 1,888.59, 2,606.45 and 1,102.71

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Solution

The fourth proportional to 1,888.59, 2,606.45 and 1,102.71 is: 1,521.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.59 : 2,606.45 = 1,102.71 : x
  2. Step 2: Convert to fraction form
    1,888.59/2,606.45 = 1,102.71/x
  3. Step 3: Cross multiply
    1,888.59x = 2,606.45 × 1,102.71
  4. Step 4: Simplify right side
    1,888.59x = 2,874,152.97
  5. Step 5: Solve for x
    x = 2,874,152.97/1,888.59
  6. Step 6: Final answer
    x = 1,521.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.